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Finding the Fourth Proportional to 3,264.54, 4,892.48 and 1,529.52

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Solution

The fourth proportional to 3,264.54, 4,892.48 and 1,529.52 is: 2,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.54 : 4,892.48 = 1,529.52 : x
  2. Step 2: Convert to fraction form
    3,264.54/4,892.48 = 1,529.52/x
  3. Step 3: Cross multiply
    3,264.54x = 4,892.48 × 1,529.52
  4. Step 4: Simplify right side
    3,264.54x = 7,483,146.01
  5. Step 5: Solve for x
    x = 7,483,146.01/3,264.54
  6. Step 6: Final answer
    x = 2,292.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.